Ward identities for hall transport

Carlos Hoyos, Bom Soo Kim, Yaron Oz

Research output: Contribution to journalArticlepeer-review

Abstract

We derive quantum field theoryWard identities based on linear area preserving and conformal transformations in 2+1 dimensions. The identities relate Hall viscosities, Hall conductivities and the angular momentum. They apply both for relativistic and non relativistic systems, at zero and at finite temperature. We consider systems with or without translation invariance, and introduce an external magnetic field and viscous drag terms. A special case of the identities yields the well known relation between the Hall conductivity and half the angular momentum density.

Original languageEnglish
Article number54
JournalJournal of High Energy Physics
Volume2014
Issue number10
DOIs
StatePublished - Oct 2014

Keywords

  • Field Theories in Lower Dimensions
  • Holography and condensed matter physics (AdS/CMT)
  • Space-Time Symmetries

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